45453672000 has 672 divisors, whose sum is σ = 183585916800. Its totient is φ = 10633728000.

The previous prime is 45453671999. The next prime is 45453672001. The reversal of 45453672000 is 27635454.

45453672000 is a `hidden beast` number, since 4 + 54 + 536 + 72 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45453671999) and next prime (45453672001).

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 (45453672001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22967011 + ... + 22968989.

Almost surely, 2^45453672000 is an apocalyptic number.

45453672000 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 45453672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91792958400).

45453672000 is an abundant number, since it is smaller than the sum of its proper divisors (138132244800).

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

45453672000 is a wasteful number, since it uses less digits than its factorization.

45453672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 45453672000 in words is "forty-five billion, four hundred fifty-three million, six hundred seventy-two thousand".