1923667049952 has 768 divisors, whose sum is σ = 6341632819200. Its totient is φ = 564455485440.

The previous prime is 1923667049951. The next prime is 1923667049959. The reversal of 1923667049952 is 2599407663291.

1923667049952 is a `hidden beast` number, since 1 + 9 + 2 + 36 + 67 + 0 + 499 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1923667049952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1923667049951) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1956934453 + ... + 1956935435.

It is an arithmetic number, because the mean of its divisors is an integer number (8257334400).

Almost surely, 2^{1923667049952} is an apocalyptic number.

1923667049952 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 1923667049952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170816409600).

1923667049952 is an abundant number, since it is smaller than the sum of its proper divisors (4417965769248).

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

1923667049952 is a wasteful number, since it uses less digits than its factorization.

1923667049952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 1923667049952 in words is "one trillion, nine hundred twenty-three billion, six hundred sixty-seven million, forty-nine thousand, nine hundred fifty-two".