45700084128 has 96 divisors (see below), whose sum is σ = 120871046016. Its totient is φ = 15118343168.

The previous prime is 45700084093. The next prime is 45700084189. The reversal of 45700084128 is 82148000754.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×45700084128³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10743250 + ... + 10747502.

It is an arithmetic number, because the mean of its divisors is an integer number (1259073396).

Almost surely, 2^45700084128 is an apocalyptic number.

45700084128 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 45700084128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60435523008).

45700084128 is an abundant number, since it is smaller than the sum of its proper divisors (75170961888).

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

45700084128 is a wasteful number, since it uses less digits than its factorization.

45700084128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5086 (or 5078 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 45700084128 in words is "forty-five billion, seven hundred million, eighty-four thousand, one hundred twenty-eight".