31488146644900 has 243 divisors, whose sum is σ = 75856644178497. Its totient is φ = 11336884257600.

The previous prime is 31488146644897. The next prime is 31488146644907. The reversal of 31488146644900 is 944664188413.

It is a happy number.

The square root of 31488146644900 is 5611430.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11335732792164 + 20152413852736 = 3366858^2 + 4489144^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31488146644907) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 85798764517 + ... + 85798764883.

Almost surely, 2^{31488146644900} is an apocalyptic number.

31488146644900 is the 5611430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31488146644900

31488146644900 is an abundant number, since it is smaller than the sum of its proper divisors (44368497533597).

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

31488146644900 is a wasteful number, since it uses less digits than its factorization.

31488146644900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 58.

The spelling of 31488146644900 in words is "thirty-one trillion, four hundred eighty-eight billion, one hundred forty-six million, six hundred forty-four thousand, nine hundred".