1612310956032 has 192 divisors, whose sum is σ = 4914114791040. Its totient is φ = 460509806592.

The previous prime is 1612310956021. The next prime is 1612310956043. The reversal of 1612310956032 is 2306590132161.

It is an interprime number because it is at equal distance from previous prime (1612310956021) and next prime (1612310956043).

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261184498 + ... + 261190670.

It is an arithmetic number, because the mean of its divisors is an integer number (25594347870).

Almost surely, 2^{1612310956032} is an apocalyptic number.

1612310956032 is a gapful number since it is divisible by the number (12) 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 1612310956032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457057395520).

1612310956032 is an abundant number, since it is smaller than the sum of its proper divisors (3301803835008).

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

1612310956032 is an equidigital number, since it uses as much as digits as its factorization.

1612310956032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12278 (or 12258 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 1612310956032 in words is "one trillion, six hundred twelve billion, three hundred ten million, nine hundred fifty-six thousand, thirty-two".