1948880583936 has 1152 divisors, whose sum is σ = 7189804339200. Its totient is φ = 512248872960.

The previous prime is 1948880583847. The next prime is 1948880583971. The reversal of 1948880583936 is 6393850888491.

1948880583936 is a `hidden beast` number, since 1 + 9 + 4 + 8 + 8 + 8 + 0 + 583 + 9 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 1341279786 + ... + 1341281238.

It is an arithmetic number, because the mean of its divisors is an integer number (6241149600).

Almost surely, 2^{1948880583936} is an apocalyptic number.

1948880583936 is a gapful number since it is divisible by the number (16) 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 1948880583936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594902169600).

1948880583936 is an abundant number, since it is smaller than the sum of its proper divisors (5240923755264).

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

1948880583936 is a wasteful number, since it uses less digits than its factorization.

1948880583936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 1948880583936 in words is "one trillion, nine hundred forty-eight billion, eight hundred eighty million, five hundred eighty-three thousand, nine hundred thirty-six".