16234143744 has 672 divisors, whose sum is σ = 58360702176. Its totient is φ = 3963617280.

The previous prime is 16234143743. The next prime is 16234143787. The reversal of 16234143744 is 44734143261.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16234143743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266133474 + ... + 266133534.

It is an arithmetic number, because the mean of its divisors is an integer number (86846283).

Almost surely, 2^16234143744 is an apocalyptic number.

16234143744 is a gapful number since it is divisible by the number (14) 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 16234143744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29180351088).

16234143744 is an abundant number, since it is smaller than the sum of its proper divisors (42126558432).

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

16234143744 is a wasteful number, since it uses less digits than its factorization.

16234143744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 103 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The spelling of 16234143744 in words is "sixteen billion, two hundred thirty-four million, one hundred forty-three thousand, seven hundred forty-four".