31499150400 has 945 divisors, whose sum is σ = 127381780669. Its totient is φ = 7633059840.

The previous prime is 31499150387. The next prime is 31499150413. The reversal of 31499150400 is 405199413.

It is a happy number.

The square root of 31499150400 is 177480.

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

31499150400 is a `hidden beast` number, since 3 + 14 + 99 + 150 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (31499150387) and next prime (31499150413).

It can be written as a sum of positive squares in 13 ways, for example, as 10262500416 + 21236649984 = 101304^2 + 145728^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1086177586 + ... + 1086177614.

Almost surely, 2^31499150400 is an apocalyptic number.

31499150400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31499150400 is the 177480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31499150400

31499150400 is an abundant number, since it is smaller than the sum of its proper divisors (95882630269).

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

31499150400 is a wasteful number, since it uses less digits than its factorization.

31499150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Multiplying 31499150400 by its sum of digits (36), we get a square (1133969414400 = 1064880²).

31499150400 divided by its sum of digits (36) gives a square (874976400 = 29580²).

The spelling of 31499150400 in words is "thirty-one billion, four hundred ninety-nine million, one hundred fifty thousand, four hundred".