16146014292 has 72 divisors (see below), whose sum is σ = 41427614592. Its totient is φ = 5301172800.

The previous prime is 16146014257. The next prime is 16146014323. The reversal of 16146014292 is 29241064161.

16146014292 is a `hidden beast` number, since 1 + 6 + 1 + 4 + 601 + 42 + 9 + 2 = 666.

It is a super-2 number, since 2×16146014292² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3491742 + ... + 3496362.

It is an arithmetic number, because the mean of its divisors is an integer number (575383536).

Almost surely, 2^16146014292 is an apocalyptic number.

16146014292 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 16146014292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20713807296).

16146014292 is an abundant number, since it is smaller than the sum of its proper divisors (25281600300).

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

16146014292 is a wasteful number, since it uses less digits than its factorization.

16146014292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6069 (or 6064 counting only the distinct ones).

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

The spelling of 16146014292 in words is "sixteen billion, one hundred forty-six million, fourteen thousand, two hundred ninety-two".