45690048 has 112 divisors (see below), whose sum is σ = 136001760. Its totient is φ = 15040512.

The previous prime is 45689977. The next prime is 45690059. The reversal of 45690048 is 84009654.

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

It is a junction number, because it is equal to n+sod(n) for n = 45689994 and 45690021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236640 + ... + 236832.

Almost surely, 2^45690048 is an apocalyptic number.

45690048 is a gapful number since it is divisible by the number (48) 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 45690048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68000880).

45690048 is an abundant number, since it is smaller than the sum of its proper divisors (90311712).

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

45690048 is a wasteful number, since it uses less digits than its factorization.

45690048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 45690048 is about 6759.4413970387. The cubic root of 45690048 is about 357.4982098464.

The spelling of 45690048 in words is "forty-five million, six hundred ninety thousand, forty-eight".