45958428000 has 480 divisors, whose sum is σ = 170814964320. Its totient is φ = 12100838400.

The previous prime is 45958427981. The next prime is 45958428023. The reversal of 45958428000 is 82485954.

45958428000 is a `hidden beast` number, since 45 + 9 + 584 + 28 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×45958428000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 26891146 + ... + 26892854.

It is an arithmetic number, because the mean of its divisors is an integer number (355864509).

Almost surely, 2^45958428000 is an apocalyptic number.

45958428000 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 45958428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85407482160).

45958428000 is an abundant number, since it is smaller than the sum of its proper divisors (124856536320).

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

45958428000 is a wasteful number, since it uses less digits than its factorization.

45958428000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 45958428000 in words is "forty-five billion, nine hundred fifty-eight million, four hundred twenty-eight thousand".