45649190400 has 480 divisors, whose sum is σ = 167067128448. Its totient is φ = 10894540800.

The previous prime is 45649190393. The next prime is 45649190459. The reversal of 45649190400 is 409194654.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28299994 + ... + 28301606.

Almost surely, 2^45649190400 is an apocalyptic number.

45649190400 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 45649190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83533564224).

45649190400 is an abundant number, since it is smaller than the sum of its proper divisors (121417938048).

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

45649190400 is a wasteful number, since it uses less digits than its factorization.

45649190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 45649190400 in words is "forty-five billion, six hundred forty-nine million, one hundred ninety thousand, four hundred".