454943796113664 has 1728 divisors, whose sum is σ = 1688388824102400. Its totient is φ = 119616024084480.

The previous prime is 454943796113641. The next prime is 454943796113713. The reversal of 454943796113664 is 466311697349454.

454943796113664 is a `hidden beast` number, since 4 + 5 + 4 + 9 + 4 + 379 + 61 + 136 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×454943796113664² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 454943796113592 and 454943796113601.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 240838430032 + ... + 240838431920.

It is an arithmetic number, because the mean of its divisors is an integer number (977076865800).

Almost surely, 2^{454943796113664} is an apocalyptic number.

454943796113664 is a gapful number since it is divisible by the number (44) 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 454943796113664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844194412051200).

454943796113664 is an abundant number, since it is smaller than the sum of its proper divisors (1233445027988736).

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

454943796113664 is a wasteful number, since it uses less digits than its factorization.

454943796113664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3269 (or 3238 counting only the distinct ones).

The product of its digits is 1410877440, while the sum is 72.

The spelling of 454943796113664 in words is "four hundred fifty-four trillion, nine hundred forty-three billion, seven hundred ninety-six million, one hundred thirteen thousand, six hundred sixty-four".