31178940506112 has 448 divisors, whose sum is σ = 99018956851200. Its totient is φ = 8718620295168.

The previous prime is 31178940506101. The next prime is 31178940506237. The reversal of 31178940506112 is 21160504987113.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396150348 + ... + 396229044.

It is a 1-persistent number, because it is pandigital, but 2⋅31178940506112 = 62357881012224 is not.

Almost surely, 2^{31178940506112} is an apocalyptic number.

31178940506112 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 31178940506112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49509478425600).

31178940506112 is an abundant number, since it is smaller than the sum of its proper divisors (67840016345088).

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

31178940506112 is an frugal number, since it uses more digits than its factorization.

31178940506112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78794 (or 78756 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 31178940506112 in words is "thirty-one trillion, one hundred seventy-eight billion, nine hundred forty million, five hundred six thousand, one hundred twelve".