45734811528960 has 864 divisors, whose sum is σ = 165645378017280. Its totient is φ = 11948811780096.

The previous prime is 45734811528893. The next prime is 45734811529037. The reversal of 45734811528960 is 6982511843754.

It is a happy number.

45734811528960 is a `hidden beast` number, since 4 + 5 + 7 + 3 + 4 + 8 + 11 + 528 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30756429337 + ... + 30756430823.

It is an arithmetic number, because the mean of its divisors is an integer number (191719187520).

It is a 1-persistent number, because it is pandigital, but 2⋅45734811528960 = 91469623057920 is not.

Almost surely, 2^{45734811528960} is an apocalyptic number.

45734811528960 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 45734811528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82822689008640).

45734811528960 is an abundant number, since it is smaller than the sum of its proper divisors (119910566488320).

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

45734811528960 is a wasteful number, since it uses less digits than its factorization.

45734811528960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 45734811528960 in words is "forty-five trillion, seven hundred thirty-four billion, eight hundred eleven million, five hundred twenty-eight thousand, nine hundred sixty".