45163550880 has 576 divisors, whose sum is σ = 182800800000. Its totient is φ = 10147092480.

The previous prime is 45163550879. The next prime is 45163550933. The reversal of 45163550880 is 8805536154.

45163550880 is a `hidden beast` number, since 4 + 5 + 1 + 63 + 5 + 508 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30128371 + ... + 30129869.

It is an arithmetic number, because the mean of its divisors is an integer number (317362500).

Almost surely, 2^45163550880 is an apocalyptic number.

45163550880 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 45163550880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91400400000).

45163550880 is an abundant number, since it is smaller than the sum of its proper divisors (137637249120).

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

45163550880 is a wasteful number, since it uses less digits than its factorization.

45163550880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 45163550880 in words is "forty-five billion, one hundred sixty-three million, five hundred fifty thousand, eight hundred eighty".