1924839912996 has 1125 divisors, whose sum is σ = 6992111385105. Its totient is φ = 461500079040.

The previous prime is 1924839912967. The next prime is 1924839912997. The reversal of 1924839912996 is 6992199384291.

The square root of 1924839912996 is 1387386.

It is a perfect power (a square), and thus also a powerful number.

1924839912996 is a `hidden beast` number, since 1 + 9 + 24 + 8 + 399 + 129 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 284739632100 + 1640100280896 = 533610^2 + 1280664^2 .

Its product of digits (136048896) is a multiple of the sum of its prime divisors (36).

It is not an unprimeable number, because it can be changed into a prime (1924839912997) by changing a digit.

It is a polite number, since it can be written in 374 ways as a sum of consecutive naturals, for example, 148064608686 + ... + 148064608698.

Almost surely, 2^{1924839912996} is an apocalyptic number.

1924839912996 is the 1387386-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1924839912996

1924839912996 is an abundant number, since it is smaller than the sum of its proper divisors (5067271472109).

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

1924839912996 is an frugal number, since it uses more digits than its factorization.

1924839912996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 36 counting only the distinct ones).

The product of its digits is 136048896, while the sum is 72.

The spelling of 1924839912996 in words is "one trillion, nine hundred twenty-four billion, eight hundred thirty-nine million, nine hundred twelve thousand, nine hundred ninety-six".