48174346321920 has 5400 divisors, whose sum is σ = 238842638030304. Its totient is φ = 9062867533824.

The previous prime is 48174346321897. The next prime is 48174346321949. The reversal of 48174346321920 is 2912364347184.

48174346321920 is a `hidden beast` number, since 4 + 8 + 1 + 74 + 3 + 463 + 21 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2535491911671 + ... + 2535491911689.

Almost surely, 2^{48174346321920} is an apocalyptic number.

48174346321920 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 48174346321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119421319015152).

48174346321920 is an abundant number, since it is smaller than the sum of its proper divisors (190668291708384).

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

48174346321920 is a wasteful number, since it uses less digits than its factorization.

48174346321920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 48174346321920 in words is "forty-eight trillion, one hundred seventy-four billion, three hundred forty-six million, three hundred twenty-one thousand, nine hundred twenty".