45061632000 has 1248 divisors, whose sum is σ = 204120244224. Its totient is φ = 9289728000.

The previous prime is 45061631999. The next prime is 45061632001. The reversal of 45061632000 is 23616054.

45061632000 is a `hidden beast` number, since 45 + 0 + 616 + 3 + 2 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45061631999) and next prime (45061632001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45061632001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 354815937 + ... + 354816063.

It is an arithmetic number, because the mean of its divisors is an integer number (163557888).

Almost surely, 2^45061632000 is an apocalyptic number.

45061632000 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 45061632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102060122112).

45061632000 is an abundant number, since it is smaller than the sum of its proper divisors (159058612224).

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

45061632000 is a wasteful number, since it uses less digits than its factorization.

45061632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 45061632000 in words is "forty-five billion, sixty-one million, six hundred thirty-two thousand".