4948175232000 has 3168 divisors, whose sum is σ = 24408343237824. Its totient is φ = 947552256000.

The previous prime is 4948175231977. The next prime is 4948175232107. The reversal of 4948175232000 is 2325718494.

4948175232000 is a `hidden beast` number, since 4 + 94 + 8 + 17 + 523 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8072063694 + ... + 8072064306.

Almost surely, 2^{4948175232000} is an apocalyptic number.

4948175232000 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 4948175232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12204171618912).

4948175232000 is an abundant number, since it is smaller than the sum of its proper divisors (19460168005824).

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

4948175232000 is a wasteful number, since it uses less digits than its factorization.

4948175232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 4948175232000 in words is "four trillion, nine hundred forty-eight billion, one hundred seventy-five million, two hundred thirty-two thousand".