35051314972464 has 160 divisors (see below), whose sum is σ = 115476641879040. Its totient is φ = 9971679840768.

The previous prime is 35051314972433. The next prime is 35051314972469. The reversal of 35051314972464 is 46427941315053.

35051314972464 is a `hidden beast` number, since 3 + 5 + 0 + 5 + 131 + 49 + 7 + 2 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 35051314972464.

It is not an unprimeable number, because it can be changed into a prime (35051314972469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24168892 + ... + 25578075.

It is an arithmetic number, because the mean of its divisors is an integer number (721729011744).

Almost surely, 2^{35051314972464} is an apocalyptic number.

It is an amenable number.

35051314972464 is an abundant number, since it is smaller than the sum of its proper divisors (80425326906576).

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

35051314972464 is a wasteful number, since it uses less digits than its factorization.

35051314972464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49747224 (or 49747212 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 35051314972464 in words is "thirty-five trillion, fifty-one billion, three hundred fourteen million, nine hundred seventy-two thousand, four hundred sixty-four".