45231833088 has 408 divisors, whose sum is σ = 149427231408. Its totient is φ = 13061062656.

The previous prime is 45231833083. The next prime is 45231833093. The reversal of 45231833088 is 88033813254.

45231833088 is a `hidden beast` number, since 4 + 5 + 231 + 8 + 330 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (45231833083) and next prime (45231833093).

It is a tau number, because it is divible by the number of its divisors (408).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45231833083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130350931 + ... + 130351277.

Almost surely, 2^45231833088 is an apocalyptic number.

45231833088 is a gapful number since it is divisible by the number (48) 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 45231833088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74713615704).

45231833088 is an abundant number, since it is smaller than the sum of its proper divisors (104195398320).

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

45231833088 is a wasteful number, since it uses less digits than its factorization.

45231833088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 45231833088 in words is "forty-five billion, two hundred thirty-one million, eight hundred thirty-three thousand, eighty-eight".