31414512900 has 144 divisors (see below), whose sum is σ = 91475395200. Its totient is φ = 8323722240.

The previous prime is 31414512887. The next prime is 31414512911. The reversal of 31414512900 is 921541413.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61717846 + ... + 61718354.

It is an arithmetic number, because the mean of its divisors is an integer number (635245800).

Almost surely, 2^31414512900 is an apocalyptic number.

31414512900 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 31414512900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45737697600).

31414512900 is an abundant number, since it is smaller than the sum of its proper divisors (60060882300).

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

31414512900 is a wasteful number, since it uses less digits than its factorization.

31414512900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 31414512900 in words is "thirty-one billion, four hundred fourteen million, five hundred twelve thousand, nine hundred".