45749084676120 has 320 divisors, whose sum is σ = 176359993761600. Its totient is φ = 10419718901760.

The previous prime is 45749084676107. The next prime is 45749084676137. The reversal of 45749084676120 is 2167648094754.

45749084676120 is a `hidden beast` number, since 4 + 5 + 7 + 4 + 9 + 0 + 8 + 4 + 6 + 7 + 612 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2783836 + ... + 9962324.

It is an arithmetic number, because the mean of its divisors is an integer number (551124980505).

Almost surely, 2^{45749084676120} is an apocalyptic number.

45749084676120 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 45749084676120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88179996880800).

45749084676120 is an abundant number, since it is smaller than the sum of its proper divisors (130610909085480).

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

45749084676120 is a wasteful number, since it uses less digits than its factorization.

45749084676120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7178800 (or 7178787 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 45749084676120 in words is "forty-five trillion, seven hundred forty-nine billion, eighty-four million, six hundred seventy-six thousand, one hundred twenty".