16148907779376 has 320 divisors, whose sum is σ = 48209367974400. Its totient is φ = 4623651422208.

The previous prime is 16148907779339. The next prime is 16148907779413. The reversal of 16148907779376 is 67397770984161.

It is an interprime number because it is at equal distance from previous prime (16148907779339) and next prime (16148907779413).

It is a junction number, because it is equal to n+sod(n) for n = 16148907779298 and 16148907779307.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199139350 + ... + 199220426.

It is an arithmetic number, because the mean of its divisors is an integer number (150654274920).

Almost surely, 2^{16148907779376} is an apocalyptic number.

16148907779376 is a gapful number since it is divisible by the number (16) 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 16148907779376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24104683987200).

16148907779376 is an abundant number, since it is smaller than the sum of its proper divisors (32060460195024).

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

16148907779376 is a wasteful number, since it uses less digits than its factorization.

16148907779376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81596 (or 81590 counting only the distinct ones).

The product of its (nonzero) digits is 672126336, while the sum is 75.

The spelling of 16148907779376 in words is "sixteen trillion, one hundred forty-eight billion, nine hundred seven million, seven hundred seventy-nine thousand, three hundred seventy-six".