16201137456408 has 128 divisors (see below), whose sum is σ = 41684604134400. Its totient is φ = 5244622408704.

The previous prime is 16201137456389. The next prime is 16201137456409. The reversal of 16201137456408 is 80465473110261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16201137456409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376582723 + ... + 376625741.

It is an arithmetic number, because the mean of its divisors is an integer number (325660969800).

Almost surely, 2^{16201137456408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16201137456408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20842302067200).

16201137456408 is an abundant number, since it is smaller than the sum of its proper divisors (25483466677992).

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

16201137456408 is a wasteful number, since it uses less digits than its factorization.

16201137456408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45649 (or 45645 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 16201137456408 in words is "sixteen trillion, two hundred one billion, one hundred thirty-seven million, four hundred fifty-six thousand, four hundred eight".