1948875282432 has 1440 divisors, whose sum is σ = 6900025532400. Its totient is φ = 544346210304.

The previous prime is 1948875282371. The next prime is 1948875282433. The reversal of 1948875282432 is 2342825788491.

1948875282432 is a `hidden beast` number, since 1 + 9 + 4 + 8 + 87 + 528 + 24 + 3 + 2 = 666.

It is a super-2 number, since 2×1948875282432² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1948875282432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1948875282433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 33031784419 + ... + 33031784477.

Almost surely, 2^{1948875282432} is an apocalyptic number.

1948875282432 is a gapful number since it is divisible by the number (12) 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 1948875282432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450012766200).

1948875282432 is an abundant number, since it is smaller than the sum of its proper divisors (4951150249968).

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

1948875282432 is a wasteful number, since it uses less digits than its factorization.

1948875282432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 147 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 1948875282432 in words is "one trillion, nine hundred forty-eight billion, eight hundred seventy-five million, two hundred eighty-two thousand, four hundred thirty-two".