45362001136 has 80 divisors (see below), whose sum is σ = 98041224960. Its totient is φ = 20205849600.

The previous prime is 45362001133. The next prime is 45362001151. The reversal of 45362001136 is 63110026354.

45362001136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45362001136² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45362001098 and 45362001107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45362001133) 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, 7371661 + ... + 7377811.

It is an arithmetic number, because the mean of its divisors is an integer number (1225515312).

Almost surely, 2^45362001136 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 45362001136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49020612480).

45362001136 is an abundant number, since it is smaller than the sum of its proper divisors (52679223824).

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

45362001136 is a wasteful number, since it uses less digits than its factorization.

45362001136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7622 (or 7616 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 45362001136 in words is "forty-five billion, three hundred sixty-two million, one thousand, one hundred thirty-six".