45755519293440 has 2304 divisors, whose sum is σ = 188929226304000. Its totient is φ = 10517458452480.

The previous prime is 45755519293313. The next prime is 45755519293501. The reversal of 45755519293440 is 4439291555754.

45755519293440 is a `hidden beast` number, since 4 + 5 + 7 + 5 + 551 + 9 + 2 + 9 + 34 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 191 ways as a sum of consecutive naturals, for example, 46832670232 + ... + 46832671208.

It is an arithmetic number, because the mean of its divisors is an integer number (82000532250).

Almost surely, 2^{45755519293440} is an apocalyptic number.

45755519293440 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 45755519293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94464613152000).

45755519293440 is an abundant number, since it is smaller than the sum of its proper divisors (143173707010560).

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

45755519293440 is a wasteful number, since it uses less digits than its factorization.

45755519293440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 136080000, while the sum is 63.

The spelling of 45755519293440 in words is "forty-five trillion, seven hundred fifty-five billion, five hundred nineteen million, two hundred ninety-three thousand, four hundred forty".