601097054976 has 864 divisors, whose sum is σ = 2086518470400. Its totient is φ = 172194232320.

The previous prime is 601097054963. The next prime is 601097054993. The reversal of 601097054976 is 679450790106.

601097054976 is a `hidden beast` number, since 6 + 0 + 1 + 0 + 97 + 0 + 549 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×601097054976² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1287145495 + ... + 1287145961.

Almost surely, 2^601097054976 is an apocalyptic number.

601097054976 is a gapful number since it is divisible by the number (66) 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 601097054976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043259235200).

601097054976 is an abundant number, since it is smaller than the sum of its proper divisors (1485421415424).

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

601097054976 is an equidigital number, since it uses as much as digits as its factorization.

601097054976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 601097054976 in words is "six hundred one billion, ninety-seven million, fifty-four thousand, nine hundred seventy-six".