45435073158720 has 1120 divisors, whose sum is σ = 186718237744896. Its totient is φ = 10272581222400.

The previous prime is 45435073158707. The next prime is 45435073158721. The reversal of 45435073158720 is 2785137053454.

45435073158720 is a `hidden beast` number, since 4 + 5 + 4 + 3 + 5 + 0 + 7 + 31 + 587 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is not an unprimeable number, because it can be changed into a prime (45435073158721) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11707051180 + ... + 11707055060.

Almost surely, 2^{45435073158720} is an apocalyptic number.

45435073158720 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 45435073158720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93359118872448).

45435073158720 is an abundant number, since it is smaller than the sum of its proper divisors (141283164586176).

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

45435073158720 is a wasteful number, since it uses less digits than its factorization.

45435073158720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4601 (or 4582 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 45435073158720 in words is "forty-five trillion, four hundred thirty-five billion, seventy-three million, one hundred fifty-eight thousand, seven hundred twenty".