45169850880 has 1920 divisors, whose sum is σ = 216202162176. Its totient is φ = 8758886400.

The previous prime is 45169850863. The next prime is 45169850909. The reversal of 45169850880 is 8805896154.

It is a happy number.

45169850880 is a `hidden beast` number, since 4 + 51 + 6 + 9 + 8 + 508 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1101703660 + ... + 1101703700.

Almost surely, 2^45169850880 is an apocalyptic number.

45169850880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45169850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108101081088).

45169850880 is an abundant number, since it is smaller than the sum of its proper divisors (171032311296).

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

45169850880 is a wasteful number, since it uses less digits than its factorization.

45169850880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 45169850880 in words is "forty-five billion, one hundred sixty-nine million, eight hundred fifty thousand, eight hundred eighty".