48147329936160 has 3072 divisors, whose sum is σ = 226492858368000. Its totient is φ = 9266822184960.

The previous prime is 48147329936119. The next prime is 48147329936201. The reversal of 48147329936160 is 6163992374184.

48147329936160 is a `hidden beast` number, since 4 + 8 + 1 + 4 + 7 + 3 + 2 + 9 + 9 + 3 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48147329936119) and next prime (48147329936201).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 62286325534 + ... + 62286326306.

It is an arithmetic number, because the mean of its divisors is an integer number (73728144000).

Almost surely, 2^{48147329936160} is an apocalyptic number.

48147329936160 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 48147329936160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113246429184000).

48147329936160 is an abundant number, since it is smaller than the sum of its proper divisors (178345528431840).

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

48147329936160 is a wasteful number, since it uses less digits than its factorization.

48147329936160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 48147329936160 in words is "forty-eight trillion, one hundred forty-seven billion, three hundred twenty-nine million, nine hundred thirty-six thousand, one hundred sixty".