45370267776 has 128 divisors (see below), whose sum is σ = 135792028800. Its totient is φ = 14910336000.

The previous prime is 45370267769. The next prime is 45370267807. The reversal of 45370267776 is 67776207354.

45370267776 is a `hidden beast` number, since 4 + 5 + 370 + 267 + 7 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×45370267776² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

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, 152926 + ... + 337826.

It is an arithmetic number, because the mean of its divisors is an integer number (1060875225).

Almost surely, 2^45370267776 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 45370267776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67896014400).

45370267776 is an abundant number, since it is smaller than the sum of its proper divisors (90421761024).

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

45370267776 is a wasteful number, since it uses less digits than its factorization.

45370267776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184995 (or 184977 counting only the distinct ones).

The product of its (nonzero) digits is 10372320, while the sum is 54.

The spelling of 45370267776 in words is "forty-five billion, three hundred seventy million, two hundred sixty-seven thousand, seven hundred seventy-six".