454049713244160 has 2880 divisors, whose sum is σ = 1944000823564800. Its totient is φ = 100902371328000.

The previous prime is 454049713244147. The next prime is 454049713244173. The reversal of 454049713244160 is 61442317940454.

454049713244160 is a `hidden beast` number, since 4 + 5 + 4 + 0 + 4 + 9 + 7 + 132 + 441 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (454049713244147) and next prime (454049713244173).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×454049713244160² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 454049713244097 and 454049713244106.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 59113355520 + ... + 59113363200.

It is an arithmetic number, because the mean of its divisors is an integer number (675000285960).

Almost surely, 2^{454049713244160} is an apocalyptic number.

454049713244160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454049713244160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972000411782400).

454049713244160 is an abundant number, since it is smaller than the sum of its proper divisors (1489951110320640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

454049713244160 is a wasteful number, since it uses less digits than its factorization.

454049713244160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7792 (or 7752 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 454049713244160 in words is "four hundred fifty-four trillion, forty-nine billion, seven hundred thirteen million, two hundred forty-four thousand, one hundred sixty".