36456101429520 has 480 divisors, whose sum is σ = 122481006428160. Its totient is φ = 8943924464640.

The previous prime is 36456101429513. The next prime is 36456101429549. The reversal of 36456101429520 is 2592410165463.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 36456101429520.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4772361861 + ... + 4772369499.

It is an arithmetic number, because the mean of its divisors is an integer number (255168763392).

Almost surely, 2^{36456101429520} is an apocalyptic number.

36456101429520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36456101429520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61240503214080).

36456101429520 is an abundant number, since it is smaller than the sum of its proper divisors (86024904998640).

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

36456101429520 is a wasteful number, since it uses less digits than its factorization.

36456101429520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8043 (or 7870 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 36456101429520 in words is "thirty-six trillion, four hundred fifty-six billion, one hundred one million, four hundred twenty-nine thousand, five hundred twenty".