31214119896960 has 3072 divisors, whose sum is σ = 141725933798400. Its totient is φ = 5738822369280.

The previous prime is 31214119896871. The next prime is 31214119896961. The reversal of 31214119896960 is 6969891141213.

It is a super-2 number, since 2×31214119896960² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 31214119896894 and 31214119896903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31214119896961) 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, 36337741011 + ... + 36337741869.

It is an arithmetic number, because the mean of its divisors is an integer number (46134744075).

Almost surely, 2^{31214119896960} is an apocalyptic number.

31214119896960 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 31214119896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70862966899200).

31214119896960 is an abundant number, since it is smaller than the sum of its proper divisors (110511813901440).

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

31214119896960 is a wasteful number, since it uses less digits than its factorization.

31214119896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 60.

The spelling of 31214119896960 in words is "thirty-one trillion, two hundred fourteen billion, one hundred nineteen million, eight hundred ninety-six thousand, nine hundred sixty".