45362047680 has 420 divisors, whose sum is σ = 164682361008. Its totient is φ = 11850209280.

The previous prime is 45362047651. The next prime is 45362047727. The reversal of 45362047680 is 8674026354.

45362047680 is a `hidden beast` number, since 45 + 3 + 62 + 0 + 476 + 80 = 666.

45362047680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 288930162 + ... + 288930318.

Almost surely, 2^45362047680 is an apocalyptic number.

45362047680 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 45362047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82341180504).

45362047680 is an abundant number, since it is smaller than the sum of its proper divisors (119320313328).

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

45362047680 is an equidigital number, since it uses as much as digits as its factorization.

45362047680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 45362047680 in words is "forty-five billion, three hundred sixty-two million, forty-seven thousand, six hundred eighty".