16148168400 has 960 divisors, whose sum is σ = 68953364480. Its totient is φ = 3135283200.

The previous prime is 16148168383. The next prime is 16148168401. The reversal of 16148168400 is 486184161.

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

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16148168401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89216310 + ... + 89216490.

Almost surely, 2^16148168400 is an apocalyptic number.

16148168400 is a gapful number since it is divisible by the number (10) 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 16148168400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34476682240).

16148168400 is an abundant number, since it is smaller than the sum of its proper divisors (52805196080).

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

16148168400 is a wasteful number, since it uses less digits than its factorization.

16148168400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 16148168400 in words is "sixteen billion, one hundred forty-eight million, one hundred sixty-eight thousand, four hundred".