36116228506512 has 480 divisors, whose sum is σ = 119428641506304. Its totient is φ = 9299583820800.

The previous prime is 36116228506493. The next prime is 36116228506529. The reversal of 36116228506512 is 21560582261163.

It is a super-2 number, since 2×36116228506512² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

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, 1799413437 + ... + 1799433507.

Almost surely, 2^{36116228506512} 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 36116228506512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59714320753152).

36116228506512 is an abundant number, since it is smaller than the sum of its proper divisors (83312412999792).

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

36116228506512 is a wasteful number, since it uses less digits than its factorization.

36116228506512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20707 (or 20694 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 36116228506512 in words is "thirty-six trillion, one hundred sixteen billion, two hundred twenty-eight million, five hundred six thousand, five hundred twelve".