45342154368 has 384 divisors, whose sum is σ = 156726835200. Its totient is φ = 12301977600.

The previous prime is 45342154349. The next prime is 45342154409. The reversal of 45342154368 is 86345124354.

45342154368 is a `hidden beast` number, since 4 + 5 + 3 + 42 + 1 + 543 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 28005463 + ... + 28007081.

It is an arithmetic number, because the mean of its divisors is an integer number (408142800).

Almost surely, 2^45342154368 is an apocalyptic number.

45342154368 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 45342154368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78363417600).

45342154368 is an abundant number, since it is smaller than the sum of its proper divisors (111384680832).

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

45342154368 is a wasteful number, since it uses less digits than its factorization.

45342154368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1805 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 45342154368 in words is "forty-five billion, three hundred forty-two million, one hundred fifty-four thousand, three hundred sixty-eight".