36031437400464 has 180 divisors, whose sum is σ = 110912760808668. Its totient is φ = 10911296309760.

The previous prime is 36031437400447. The next prime is 36031437400481. The reversal of 36031437400464 is 46400473413063.

36031437400464 is a `hidden beast` number, since 3 + 6 + 0 + 3 + 143 + 7 + 40 + 0 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (36031437400447) and next prime (36031437400481).

It can be written as a sum of positive squares in 2 ways, for example, as 31080848000400 + 4950589400064 = 5575020^2 + 2224992^2 .

It is a super-2 number, since 2×36031437400464² (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 35 ways as a sum of consecutive naturals, for example, 25321494 + ... + 26706570.

Almost surely, 2^{36031437400464} 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 36031437400464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55456380404334).

36031437400464 is an abundant number, since it is smaller than the sum of its proper divisors (74881323408204).

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

36031437400464 is a wasteful number, since it uses less digits than its factorization.

36031437400464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386606 (or 1386586 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 36031437400464 in words is "thirty-six trillion, thirty-one billion, four hundred thirty-seven million, four hundred thousand, four hundred sixty-four".