45678151680 has 384 divisors, whose sum is σ = 171554423040. Its totient is φ = 10156769280.

The previous prime is 45678151663. The next prime is 45678151681. The reversal of 45678151680 is 8615187654.

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

It is not an unprimeable number, because it can be changed into a prime (45678151681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7953610 + ... + 7959350.

It is an arithmetic number, because the mean of its divisors is an integer number (446756310).

Almost surely, 2^45678151680 is an apocalyptic number.

45678151680 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 45678151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85777211520).

45678151680 is an abundant number, since it is smaller than the sum of its proper divisors (125876271360).

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

45678151680 is a wasteful number, since it uses less digits than its factorization.

45678151680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5815 (or 5795 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 45678151680 in words is "forty-five billion, six hundred seventy-eight million, one hundred fifty-one thousand, six hundred eighty".