45532256880 has 480 divisors, whose sum is σ = 161494020864. Its totient is φ = 10523136000.

The previous prime is 45532256879. The next prime is 45532256893. The reversal of 45532256880 is 8865223554.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 332352172 + ... + 332352308.

Almost surely, 2^45532256880 is an apocalyptic number.

45532256880 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 45532256880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80747010432).

45532256880 is an abundant number, since it is smaller than the sum of its proper divisors (115961763984).

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

45532256880 is a wasteful number, since it uses less digits than its factorization.

45532256880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 48.

The spelling of 45532256880 in words is "forty-five billion, five hundred thirty-two million, two hundred fifty-six thousand, eight hundred eighty".