45553914000 has 1200 divisors, whose sum is σ = 201200039040. Its totient is φ = 9729331200.

The previous prime is 45553913981. The next prime is 45553914047. The reversal of 45553914000 is 41935554.

It is a tau number, because it is divible by the number of its divisors (1200).

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

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, 327725931 + ... + 327726069.

Almost surely, 2^45553914000 is an apocalyptic number.

45553914000 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 45553914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100600019520).

45553914000 is an abundant number, since it is smaller than the sum of its proper divisors (155646125040).

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

45553914000 is a wasteful number, since it uses less digits than its factorization.

45553914000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 45553914000 in words is "forty-five billion, five hundred fifty-three million, nine hundred fourteen thousand".