45053577000 has 320 divisors, whose sum is σ = 158586714000. Its totient is φ = 11930457600.

The previous prime is 45053576959. The next prime is 45053577001. The reversal of 45053577000 is 77535054.

45053577000 is a `hidden beast` number, since 4 + 50 + 535 + 7 + 70 + 0 + 0 = 666.

45053577000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8608356 + 45044968644 = 2934^2 + 212238^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45053577001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12067134 + ... + 12070866.

Almost surely, 2^45053577000 is an apocalyptic number.

45053577000 is a gapful number since it is divisible by the number (40) 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 45053577000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79293357000).

45053577000 is an abundant number, since it is smaller than the sum of its proper divisors (113533137000).

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

45053577000 is a wasteful number, since it uses less digits than its factorization.

45053577000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3915 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 36.

The spelling of 45053577000 in words is "forty-five billion, fifty-three million, five hundred seventy-seven thousand".