45355826880 has 1680 divisors, whose sum is σ = 210136471776. Its totient is φ = 9196830720.

The previous prime is 45355826779. The next prime is 45355826891. The reversal of 45355826880 is 8862855354.

45355826880 is a `hidden beast` number, since 4 + 5 + 3 + 558 + 2 + 6 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 239 ways as a sum of consecutive naturals, for example, 676952607 + ... + 676952673.

Almost surely, 2^45355826880 is an apocalyptic number.

45355826880 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 45355826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105068235888).

45355826880 is an abundant number, since it is smaller than the sum of its proper divisors (164780644896).

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

45355826880 is a wasteful number, since it uses less digits than its factorization.

45355826880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 45355826880 in words is "forty-five billion, three hundred fifty-five million, eight hundred twenty-six thousand, eight hundred eighty".