45840253536 has 720 divisors, whose sum is σ = 174404482560. Its totient is φ = 11474265600.

The previous prime is 45840253471. The next prime is 45840253549. The reversal of 45840253536 is 63535204854.

45840253536 is a `hidden beast` number, since 4 + 5 + 84 + 0 + 2 + 535 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45840253491 and 45840253500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 191800105 + ... + 191800343.

It is an arithmetic number, because the mean of its divisors is an integer number (242228448).

Almost surely, 2^45840253536 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 45840253536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87202241280).

45840253536 is an abundant number, since it is smaller than the sum of its proper divisors (128564229024).

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

45840253536 is a wasteful number, since it uses less digits than its factorization.

45840253536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 45840253536 in words is "forty-five billion, eight hundred forty million, two hundred fifty-three thousand, five hundred thirty-six".