1036264455168 has 176 divisors, whose sum is σ = 2872610057856. Its totient is φ = 331854888960.

The previous prime is 1036264455167. The next prime is 1036264455179. The reversal of 1036264455168 is 8615544626301.

It is a super-3 number, since 3×1036264455168³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1036264455168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1036264455167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7993555 + ... + 8122157.

It is an arithmetic number, because the mean of its divisors is an integer number (16321648056).

Almost surely, 2^{1036264455168} 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 1036264455168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436305028928).

1036264455168 is an abundant number, since it is smaller than the sum of its proper divisors (1836345602688).

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

1036264455168 is a wasteful number, since it uses less digits than its factorization.

1036264455168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128730 (or 128712 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 1036264455168 in words is "one trillion, thirty-six billion, two hundred sixty-four million, four hundred fifty-five thousand, one hundred sixty-eight".