45017779968 has 576 divisors, whose sum is σ = 162473472000. Its totient is φ = 12002328576.

The previous prime is 45017779957. The next prime is 45017779991. The reversal of 45017779968 is 86997771054.

45017779968 is a `hidden beast` number, since 450 + 177 + 7 + 9 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188358793 + ... + 188359031.

It is an arithmetic number, because the mean of its divisors is an integer number (282072000).

Almost surely, 2^45017779968 is an apocalyptic number.

45017779968 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 45017779968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81236736000).

45017779968 is an abundant number, since it is smaller than the sum of its proper divisors (117455692032).

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

45017779968 is a wasteful number, since it uses less digits than its factorization.

45017779968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 45017779968 in words is "forty-five billion, seventeen million, seven hundred seventy-nine thousand, nine hundred sixty-eight".