48737041486848 has 4224 divisors, whose sum is σ = 197272743542784. Its totient is φ = 11771943321600.

The previous prime is 48737041486807. The next prime is 48737041486897. The reversal of 48737041486848 is 84868414073784.

It is a happy number.

48737041486848 is a `hidden beast` number, since 4 + 8 + 73 + 70 + 4 + 1 + 486 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a super-2 number, since 2×48737041486848² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 431301252040 + ... + 431301252152.

Almost surely, 2^{48737041486848} is an apocalyptic number.

48737041486848 is a gapful number since it is divisible by the number (48) 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 48737041486848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98636371771392).

48737041486848 is an abundant number, since it is smaller than the sum of its proper divisors (148535702055936).

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

48737041486848 is a wasteful number, since it uses less digits than its factorization.

48737041486848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 924844032, while the sum is 72.

The spelling of 48737041486848 in words is "forty-eight trillion, seven hundred thirty-seven billion, forty-one million, four hundred eighty-six thousand, eight hundred forty-eight".