31145078664000 has 1568 divisors, whose sum is σ = 132475745915136. Its totient is φ = 7102088294400.

The previous prime is 31145078663999. The next prime is 31145078664001. The reversal of 31145078664000 is 46687054113.

31145078664000 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 507 + 86 + 64 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (31145078663999) and next prime (31145078664001).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31145078664001) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 27882791442 + ... + 27882792558.

Almost surely, 2^{31145078664000} is an apocalyptic number.

31145078664000 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 31145078664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66237872957568).

31145078664000 is an abundant number, since it is smaller than the sum of its proper divisors (101330667251136).

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

31145078664000 is an equidigital number, since it uses as much as digits as its factorization.

31145078664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 31145078664000 in words is "thirty-one trillion, one hundred forty-five billion, seventy-eight million, six hundred sixty-four thousand".