2161923241104 has 675 divisors, whose sum is σ = 7117312822851. Its totient is φ = 633073034880.

The previous prime is 2161923241061. The next prime is 2161923241147. The reversal of 2161923241104 is 4011423291612.

The square root of 2161923241104 is 1470348.

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

2161923241104 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 9 + 232 + 411 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2161923241061) and next prime (2161923241147).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 27366116937 + ... + 27366117015.

Almost surely, 2^{2161923241104} is an apocalyptic number.

2161923241104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2161923241104 is the 1470348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2161923241104

2161923241104 is an abundant number, since it is smaller than the sum of its proper divisors (4955389581747).

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

2161923241104 is an equidigital number, since it uses as much as digits as its factorization.

2161923241104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 2161923241104 by its sum of digits (36), we get a square (77829236679744 = 8822088²).

2161923241104 divided by its sum of digits (36) gives a square (60053423364 = 245058²).

The spelling of 2161923241104 in words is "two trillion, one hundred sixty-one billion, nine hundred twenty-three million, two hundred forty-one thousand, one hundred four".