16246460641152 has 1024 divisors, whose sum is σ = 52352262144000. Its totient is φ = 4460295168000.

The previous prime is 16246460641129. The next prime is 16246460641163. The reversal of 16246460641152 is 25114606464261.

16246460641152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 97284195373 + ... + 97284195539.

It is an arithmetic number, because the mean of its divisors is an integer number (51125256000).

Almost surely, 2^{16246460641152} is an apocalyptic number.

16246460641152 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 16246460641152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26176131072000).

16246460641152 is an abundant number, since it is smaller than the sum of its proper divisors (36105801502848).

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

16246460641152 is a wasteful number, since it uses less digits than its factorization.

16246460641152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 16246460641152 in words is "sixteen trillion, two hundred forty-six billion, four hundred sixty million, six hundred forty-one thousand, one hundred fifty-two".