48211641429120 has 768 divisors, whose sum is σ = 180379359669600. Its totient is φ = 11795364052992.

The previous prime is 48211641429109. The next prime is 48211641429131. The reversal of 48211641429120 is 2192414611284.

48211641429120 is a `hidden beast` number, since 4 + 8 + 211 + 6 + 4 + 1 + 429 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48211641429109) and next prime (48211641429131).

It can be written as a sum of positive squares in 16 ways, for example, as 7416646115904 + 40794995313216 = 2723352^2 + 6387096^2 .

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 95 ways as a sum of consecutive naturals, for example, 11608868964 + ... + 11608873116.

Almost surely, 2^{48211641429120} is an apocalyptic number.

48211641429120 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 48211641429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90189679834800).

48211641429120 is an abundant number, since it is smaller than the sum of its proper divisors (132167718240480).

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

48211641429120 is a wasteful number, since it uses less digits than its factorization.

48211641429120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5097 (or 5082 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 48211641429120 in words is "forty-eight trillion, two hundred eleven billion, six hundred forty-one million, four hundred twenty-nine thousand, one hundred twenty".