31048082537472 has 4224 divisors, whose sum is σ = 133245625024512. Its totient is φ = 6703467724800.

The previous prime is 31048082537447. The next prime is 31048082537473. The reversal of 31048082537472 is 27473528084013.

It is a happy number.

31048082537472 is a `hidden beast` number, since 3 + 1 + 0 + 48 + 0 + 82 + 53 + 7 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31048082537473) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 374073283543 + ... + 374073283625.

It is an arithmetic number, because the mean of its divisors is an integer number (31544892288).

Almost surely, 2^{31048082537472} is an apocalyptic number.

31048082537472 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 31048082537472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66622812512256).

31048082537472 is an abundant number, since it is smaller than the sum of its proper divisors (102197542487040).

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

31048082537472 is a wasteful number, since it uses less digits than its factorization.

31048082537472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 31048082537472 in words is "thirty-one trillion, forty-eight billion, eighty-two million, five hundred thirty-seven thousand, four hundred seventy-two".