331540697655552 has 1152 divisors, whose sum is σ = 1159869389414400. Its totient is φ = 83280832266240.

The previous prime is 331540697655521. The next prime is 331540697655553. The reversal of 331540697655552 is 255556796045133.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (331540697655553) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17904656598 + ... + 17904675114.

It is an arithmetic number, because the mean of its divisors is an integer number (1006831067200).

Almost surely, 2^{331540697655552} is an apocalyptic number.

331540697655552 is a gapful number since it is divisible by the number (32) 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 331540697655552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579934694707200).

331540697655552 is an abundant number, since it is smaller than the sum of its proper divisors (828328691758848).

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

331540697655552 is a wasteful number, since it uses less digits than its factorization.

331540697655552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18772 (or 18744 counting only the distinct ones).

The product of its (nonzero) digits is 510300000, while the sum is 66.

The spelling of 331540697655552 in words is "three hundred thirty-one trillion, five hundred forty billion, six hundred ninety-seven million, six hundred fifty-five thousand, five hundred fifty-two".