45357096960 has 1176 divisors, whose sum is σ = 195970038336. Its totient is φ = 10032906240.

The previous prime is 45357096943. The next prime is 45357096977. The reversal of 45357096960 is 6969075354.

45357096960 is a `hidden beast` number, since 4 + 5 + 3 + 570 + 9 + 6 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (45357096943) and next prime (45357096977).

It is a tau number, because it is divible by the number of its divisors (1176).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 45357096897 and 45357096906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1463132145 + ... + 1463132175.

Almost surely, 2^45357096960 is an apocalyptic number.

45357096960 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 45357096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97985019168).

45357096960 is an abundant number, since it is smaller than the sum of its proper divisors (150612941376).

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

45357096960 is an frugal number, since it uses more digits than its factorization.

45357096960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 45357096960 in words is "forty-five billion, three hundred fifty-seven million, ninety-six thousand, nine hundred sixty".