35052916296464 has 160 divisors (see below), whose sum is σ = 76807607284224. Its totient is φ = 15359345418240.

The previous prime is 35052916296367. The next prime is 35052916296481. The reversal of 35052916296464 is 46469261925053.

It is a super-2 number, since 2×35052916296464² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 35052916296397 and 35052916296406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442586852 + ... + 442666044.

Almost surely, 2^{35052916296464} 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 35052916296464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38403803642112).

35052916296464 is an abundant number, since it is smaller than the sum of its proper divisors (41754690987760).

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

35052916296464 is a wasteful number, since it uses less digits than its factorization.

35052916296464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80065 (or 80059 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 62.

The spelling of 35052916296464 in words is "thirty-five trillion, fifty-two billion, nine hundred sixteen million, two hundred ninety-six thousand, four hundred sixty-four".