1923948512640 has 3072 divisors, whose sum is σ = 9494029440000. Its totient is φ = 362423255040.

The previous prime is 1923948512597. The next prime is 1923948512641. The reversal of 1923948512640 is 462158493291.

It is a happy number.

1923948512640 is a `hidden beast` number, since 1 + 9 + 2 + 39 + 485 + 126 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1923948512641) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 4591762351 + ... + 4591762769.

It is an arithmetic number, because the mean of its divisors is an integer number (3090504375).

Almost surely, 2^{1923948512640} is an apocalyptic number.

1923948512640 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 1923948512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4747014720000).

1923948512640 is an abundant number, since it is smaller than the sum of its proper divisors (7570080927360).

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

1923948512640 is a wasteful number, since it uses less digits than its factorization.

1923948512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1923948512640 in words is "one trillion, nine hundred twenty-three billion, nine hundred forty-eight million, five hundred twelve thousand, six hundred forty".