45869253889536 has 3200 divisors, whose sum is σ = 188229381120000. Its totient is φ = 10760291942400.

The previous prime is 45869253889519. The next prime is 45869253889553. The reversal of 45869253889536 is 63598835296854.

45869253889536 is a `hidden beast` number, since 4 + 58 + 6 + 9 + 25 + 3 + 8 + 8 + 9 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (45869253889519) and next prime (45869253889553).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 230498763165 + ... + 230498763363.

It is an arithmetic number, because the mean of its divisors is an integer number (58821681600).

Almost surely, 2^{45869253889536} 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 45869253889536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94114690560000).

45869253889536 is an abundant number, since it is smaller than the sum of its proper divisors (142360127230464).

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

45869253889536 is a wasteful number, since it uses less digits than its factorization.

45869253889536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 401 counting only the distinct ones).

The product of its digits is 13436928000, while the sum is 81.

The spelling of 45869253889536 in words is "forty-five trillion, eight hundred sixty-nine billion, two hundred fifty-three million, eight hundred eighty-nine thousand, five hundred thirty-six".