45652174176 has 288 divisors, whose sum is σ = 143230913280. Its totient is φ = 12689961984.

The previous prime is 45652174163. The next prime is 45652174189. The reversal of 45652174176 is 67147125654.

It is an interprime number because it is at equal distance from previous prime (45652174163) and next prime (45652174189).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28585410 + ... + 28587006.

It is an arithmetic number, because the mean of its divisors is an integer number (497329560).

Almost surely, 2^45652174176 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 45652174176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71615456640).

45652174176 is an abundant number, since it is smaller than the sum of its proper divisors (97578739104).

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

45652174176 is a wasteful number, since it uses less digits than its factorization.

45652174176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1771 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 48.

The spelling of 45652174176 in words is "forty-five billion, six hundred fifty-two million, one hundred seventy-four thousand, one hundred seventy-six".