1948032554544 has 300 divisors, whose sum is σ = 5850595662912. Its totient is φ = 625115232000.

The previous prime is 1948032554483. The next prime is 1948032554557. The reversal of 1948032554544 is 4454552308491.

1948032554544 is a `hidden beast` number, since 1 + 9 + 4 + 8 + 0 + 32 + 554 + 54 + 4 = 666.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2778933394 + ... + 2778934094.

Almost surely, 2^{1948032554544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1948032554544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925297831456).

1948032554544 is an abundant number, since it is smaller than the sum of its proper divisors (3902563108368).

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

1948032554544 is an equidigital number, since it uses as much as digits as its factorization.

1948032554544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 1948032554544 in words is "one trillion, nine hundred forty-eight billion, thirty-two million, five hundred fifty-four thousand, five hundred forty-four".