45896148000 has 288 divisors, whose sum is σ = 163983560832. Its totient is φ = 12156480000.

The previous prime is 45896147977. The next prime is 45896148013. The reversal of 45896148000 is 84169854.

45896148000 is a `hidden beast` number, since 4 + 589 + 61 + 4 + 8 + 0 + 0 + 0 = 666.

45896148000 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 (288).

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

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, 5431779 + ... + 5440221.

It is an arithmetic number, because the mean of its divisors is an integer number (569387364).

Almost surely, 2^45896148000 is an apocalyptic number.

45896148000 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 45896148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81991780416).

45896148000 is an abundant number, since it is smaller than the sum of its proper divisors (118087412832).

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

45896148000 is a wasteful number, since it uses less digits than its factorization.

45896148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8625 (or 8604 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 45896148000 in words is "forty-five billion, eight hundred ninety-six million, one hundred forty-eight thousand".