45307170726048 has 576 divisors, whose sum is σ = 166494971784960. Its totient is φ = 11733112258560.

The previous prime is 45307170725983. The next prime is 45307170726079. The reversal of 45307170726048 is 84062707170354.

45307170726048 is a `hidden beast` number, since 4 + 5 + 307 + 1 + 70 + 7 + 260 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 45307170725985 and 45307170726003.

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, 246527440 + ... + 246711152.

It is an arithmetic number, because the mean of its divisors is an integer number (289053770460).

Almost surely, 2^{45307170726048} is an apocalyptic number.

45307170726048 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 45307170726048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83247485892480).

45307170726048 is an abundant number, since it is smaller than the sum of its proper divisors (121187801058912).

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

45307170726048 is a wasteful number, since it uses less digits than its factorization.

45307170726048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184098 (or 184073 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 45307170726048 in words is "forty-five trillion, three hundred seven billion, one hundred seventy million, seven hundred twenty-six thousand, forty-eight".