45582151680 has 832 divisors, whose sum is σ = 185276488320. Its totient is φ = 10531897344.

The previous prime is 45582151673. The next prime is 45582151753. The reversal of 45582151680 is 8615128554.

45582151680 is a `hidden beast` number, since 4 + 5 + 58 + 2 + 1 + 516 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122203974 + ... + 122204346.

Almost surely, 2^45582151680 is an apocalyptic number.

45582151680 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 45582151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92638244160).

45582151680 is an abundant number, since it is smaller than the sum of its proper divisors (139694336640).

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

45582151680 is a wasteful number, since it uses less digits than its factorization.

45582151680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 45582151680 in words is "forty-five billion, five hundred eighty-two million, one hundred fifty-one thousand, six hundred eighty".