45048830400 has 1680 divisors, whose sum is σ = 210733940736. Its totient is φ = 9196830720.

The previous prime is 45048830389. The next prime is 45048830443. The reversal of 45048830400 is 403884054.

45048830400 is a `hidden beast` number, since 4 + 504 + 88 + 30 + 40 + 0 = 666.

45048830400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 354715137 + ... + 354715263.

Almost surely, 2^45048830400 is an apocalyptic number.

45048830400 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 45048830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105366970368).

45048830400 is an abundant number, since it is smaller than the sum of its proper divisors (165685110336).

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

45048830400 is a wasteful number, since it uses less digits than its factorization.

45048830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 45048830400 in words is "forty-five billion, forty-eight million, eight hundred thirty thousand, four hundred".