45353434560 has 224 divisors, whose sum is σ = 165408376320. Its totient is φ = 10313576448.

The previous prime is 45353434559. The next prime is 45353434627. The reversal of 45353434560 is 6543435354.

45353434560 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 (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1306711 + ... + 1340969.

Almost surely, 2^45353434560 is an apocalyptic number.

45353434560 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 45353434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82704188160).

45353434560 is an abundant number, since it is smaller than the sum of its proper divisors (120054941760).

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

45353434560 is a wasteful number, since it uses less digits than its factorization.

45353434560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34483 (or 34473 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 42.

The spelling of 45353434560 in words is "forty-five billion, three hundred fifty-three million, four hundred thirty-four thousand, five hundred sixty".