45198767376 has 150 divisors (see below), whose sum is σ = 147568416190. Its totient is φ = 12913834752.

The previous prime is 45198767333. The next prime is 45198767387. The reversal of 45198767376 is 67376789154.

45198767376 is a `hidden beast` number, since 4 + 5 + 198 + 76 + 7 + 376 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39968006400 + 5230760976 = 199920^2 + 72324^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 280380 + ... + 411108.

Almost surely, 2^45198767376 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 45198767376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73784208095).

45198767376 is an abundant number, since it is smaller than the sum of its proper divisors (102369648814).

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

45198767376 is a wasteful number, since it uses less digits than its factorization.

45198767376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130771 (or 130741 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 63.

The spelling of 45198767376 in words is "forty-five billion, one hundred ninety-eight million, seven hundred sixty-seven thousand, three hundred seventy-six".