48061179360 has 384 divisors, whose sum is σ = 171470597760. Its totient is φ = 12570329088.

The previous prime is 48061179337. The next prime is 48061179371. The reversal of 48061179360 is 6397116084.

It is a happy number.

It is a super-3 number, since 3×48061179360³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81047224 + ... + 81047816.

It is an arithmetic number, because the mean of its divisors is an integer number (446538015).

Almost surely, 2^48061179360 is an apocalyptic number.

48061179360 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 48061179360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85735298880).

48061179360 is an abundant number, since it is smaller than the sum of its proper divisors (123409418400).

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

48061179360 is a wasteful number, since it uses less digits than its factorization.

48061179360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 48061179360 in words is "forty-eight billion, sixty-one million, one hundred seventy-nine thousand, three hundred sixty".