45388630490112 has 1188 divisors, whose sum is σ = 166746059219376. Its totient is φ = 11643267317760.

The previous prime is 45388630490023. The next prime is 45388630490123. The reversal of 45388630490112 is 21109403688354.

It is a happy number.

45388630490112 is a `hidden beast` number, since 4 + 5 + 3 + 8 + 8 + 6 + 30 + 490 + 112 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 14925559312 + ... + 14925562352.

Almost surely, 2^{45388630490112} is an apocalyptic number.

45388630490112 is a gapful number since it is divisible by the number (42) 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 45388630490112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83373029609688).

45388630490112 is an abundant number, since it is smaller than the sum of its proper divisors (121357428729264).

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

45388630490112 is a wasteful number, since it uses less digits than its factorization.

45388630490112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 45388630490112 in words is "forty-five trillion, three hundred eighty-eight billion, six hundred thirty million, four hundred ninety thousand, one hundred twelve".