48840418142464 has 81 divisors (see below), whose sum is σ = 105569294536713. Its totient is φ = 22541060545536.

The previous prime is 48840418142459. The next prime is 48840418142533. The reversal of 48840418142464 is 46424181404884.

The square root of 48840418142464 is 6988592.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7224913926400 + 41615504216064 = 2687920^2 + 6451008^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 48840418142399 and 48840418142408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1453610337 + ... + 1453643935.

Almost surely, 2^{48840418142464} is an apocalyptic number.

48840418142464 is the 6988592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48840418142464

48840418142464 is an abundant number, since it is smaller than the sum of its proper divisors (56728876394249).

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

48840418142464 is an frugal number, since it uses more digits than its factorization.

48840418142464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67240 (or 33614 counting only the distinct ones).

The product of its (nonzero) digits is 25165824, while the sum is 58.

The spelling of 48840418142464 in words is "forty-eight trillion, eight hundred forty billion, four hundred eighteen million, one hundred forty-two thousand, four hundred sixty-four".