35975714646144 has 1024 divisors, whose sum is σ = 123426577612800. Its totient is φ = 9031668203520.

The previous prime is 35975714646101. The next prime is 35975714646161. The reversal of 35975714646144 is 44164641757953.

It is a happy number.

It is a super-2 number, since 2×35975714646144² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29560981024 + ... + 29560982240.

It is an arithmetic number, because the mean of its divisors is an integer number (120533767200).

Almost surely, 2^{35975714646144} 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 35975714646144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61713288806400).

35975714646144 is an abundant number, since it is smaller than the sum of its proper divisors (87450862966656).

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

35975714646144 is a wasteful number, since it uses less digits than its factorization.

35975714646144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1769 counting only the distinct ones).

The product of its digits is 304819200, while the sum is 66.

The spelling of 35975714646144 in words is "thirty-five trillion, nine hundred seventy-five billion, seven hundred fourteen million, six hundred forty-six thousand, one hundred forty-four".