1864957094032 has 80 divisors (see below), whose sum is σ = 3831491931520. Its totient is φ = 876915072000.

The previous prime is 1864957094009. The next prime is 1864957094071. The reversal of 1864957094032 is 2304907594681.

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, 66684532 + ... + 66712492.

It is an arithmetic number, because the mean of its divisors is an integer number (47893649144).

It is a 1-persistent number, because it is pandigital, but 2⋅1864957094032 = 3729914188064 is not.

Almost surely, 2^{1864957094032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1864957094032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915745965760).

1864957094032 is an abundant number, since it is smaller than the sum of its proper divisors (1966534837488).

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

1864957094032 is a wasteful number, since it uses less digits than its factorization.

1864957094032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29592 (or 29586 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 1864957094032 in words is "one trillion, eight hundred sixty-four billion, nine hundred fifty-seven million, ninety-four thousand, thirty-two".