45262136832 has 320 divisors, whose sum is σ = 139239302400. Its totient is φ = 12921569280.

The previous prime is 45262136723. The next prime is 45262136833. The reversal of 45262136832 is 23863126254.

It is a happy number.

It is a super-2 number, since 2×45262136832² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45262136833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88923394 + ... + 88923902.

It is an arithmetic number, because the mean of its divisors is an integer number (435122820).

Almost surely, 2^45262136832 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 45262136832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69619651200).

45262136832 is an abundant number, since it is smaller than the sum of its proper divisors (93977165568).

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

45262136832 is a wasteful number, since it uses less digits than its factorization.

45262136832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 821 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The spelling of 45262136832 in words is "forty-five billion, two hundred sixty-two million, one hundred thirty-six thousand, eight hundred thirty-two".