45056136510 has 288 divisors, whose sum is σ = 149669005824. Its totient is φ = 9298800000.

The previous prime is 45056136481. The next prime is 45056136539. The reversal of 45056136510 is 1563165054.

45056136510 is a `hidden beast` number, since 4 + 5 + 0 + 5 + 6 + 136 + 510 = 666.

It is an interprime number because it is at equal distance from previous prime (45056136481) and next prime (45056136539).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7321935 + ... + 7328085.

It is an arithmetic number, because the mean of its divisors is an integer number (519684048).

Almost surely, 2^45056136510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45056136510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74834502912).

45056136510 is an abundant number, since it is smaller than the sum of its proper divisors (104612869314).

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

45056136510 is a wasteful number, since it uses less digits than its factorization.

45056136510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6340 (or 6330 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 45056136510 in words is "forty-five billion, fifty-six million, one hundred thirty-six thousand, five hundred ten".