45709246778112 has 288 divisors, whose sum is σ = 139577364971520. Its totient is φ = 14739978240000.

The previous prime is 45709246778093. The next prime is 45709246778123. The reversal of 45709246778112 is 21187764290754.

45709246778112 is a `hidden beast` number, since 4 + 5 + 7 + 0 + 92 + 467 + 7 + 81 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 45709246778112.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 668708737 + ... + 668777087.

Almost surely, 2^{45709246778112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45709246778112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69788682485760).

45709246778112 is an abundant number, since it is smaller than the sum of its proper divisors (93868118193408).

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

45709246778112 is a wasteful number, since it uses less digits than its factorization.

45709246778112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71528 (or 71508 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 45709246778112 in words is "forty-five trillion, seven hundred nine billion, two hundred forty-six million, seven hundred seventy-eight thousand, one hundred twelve".