454390560000 has 2160 divisors, whose sum is σ = 1952417026560. Its totient is φ = 104509440000.

The previous prime is 454390559957. The next prime is 454390560097. The reversal of 454390560000 is 65093454.

It is a happy number.

454390560000 is a `hidden beast` number, since 4 + 5 + 4 + 3 + 90 + 560 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×454390560000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 14657759985 + ... + 14657760015.

Almost surely, 2^454390560000 is an apocalyptic number.

454390560000 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 454390560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976208513280).

454390560000 is an abundant number, since it is smaller than the sum of its proper divisors (1498026466560).

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

454390560000 is an equidigital number, since it uses as much as digits as its factorization.

454390560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 454390560000 in words is "four hundred fifty-four billion, three hundred ninety million, five hundred sixty thousand".