31115145600 has 960 divisors, whose sum is σ = 143246188800. Its totient is φ = 6461337600.

The previous prime is 31115145599. The next prime is 31115145601. The reversal of 31115145600 is 654151113.

31115145600 is a `hidden beast` number, since 3 + 1 + 1 + 1 + 51 + 4 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (31115145599) and next prime (31115145601).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31115145601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19957621 + ... + 19959179.

It is an arithmetic number, because the mean of its divisors is an integer number (149214780).

Almost surely, 2^31115145600 is an apocalyptic number.

31115145600 is a gapful number since it is divisible by the number (30) 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 31115145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71623094400).

31115145600 is an abundant number, since it is smaller than the sum of its proper divisors (112131043200).

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

31115145600 is a wasteful number, since it uses less digits than its factorization.

31115145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 31115145600 its reverse (654151113), we get a palindrome (31769296713).

It can be divided in two parts, 31115 and 145600, that added together give a triangular number (176715 = T₅₉₄).

The spelling of 31115145600 in words is "thirty-one billion, one hundred fifteen million, one hundred forty-five thousand, six hundred".