1948949544960 has 2304 divisors, whose sum is σ = 8697275596800. Its totient is φ = 407686348800.

The previous prime is 1948949544959. The next prime is 1948949545013. The reversal of 1948949544960 is 694459498491.

1948949544960 is a `hidden beast` number, since 1 + 9 + 4 + 8 + 9 + 495 + 44 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×1948949544960² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62869340145 + ... + 62869340175.

It is an arithmetic number, because the mean of its divisors is an integer number (3774859200).

Almost surely, 2^{1948949544960} is an apocalyptic number.

1948949544960 is a gapful number since it is divisible by the number (10) 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 1948949544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4348637798400).

1948949544960 is an abundant number, since it is smaller than the sum of its proper divisors (6748326051840).

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

1948949544960 is a wasteful number, since it uses less digits than its factorization.

1948949544960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 1948949544960 in words is "one trillion, nine hundred forty-eight billion, nine hundred forty-nine million, five hundred forty-four thousand, nine hundred sixty".