48165951447040 has 336 divisors, whose sum is σ = 141540391137600. Its totient is φ = 15644868083712.

The previous prime is 48165951446993. The next prime is 48165951447083. The reversal of 48165951447040 is 4074415956184.

It is a super-2 number, since 2×48165951447040² (a number of 28 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 37502221 + ... + 38765299.

It is an arithmetic number, because the mean of its divisors is an integer number (421251164100).

Almost surely, 2^{48165951447040} is an apocalyptic number.

48165951447040 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 48165951447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70770195568800).

48165951447040 is an abundant number, since it is smaller than the sum of its proper divisors (93374439690560).

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

48165951447040 is a wasteful number, since it uses less digits than its factorization.

48165951447040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263143 (or 1263112 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 58.

The spelling of 48165951447040 in words is "forty-eight trillion, one hundred sixty-five billion, nine hundred fifty-one million, four hundred forty-seven thousand, forty".