16148966400 has 1584 divisors, whose sum is σ = 76026562560. Its totient is φ = 3185049600.

The previous prime is 16148966377. The next prime is 16148966411. The reversal of 16148966400 is 466984161.

16148966400 is a `hidden beast` number, since 16 + 148 + 96 + 6 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 520934385 + ... + 520934415.

Almost surely, 2^16148966400 is an apocalyptic number.

16148966400 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 16148966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38013281280).

16148966400 is an abundant number, since it is smaller than the sum of its proper divisors (59877596160).

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

16148966400 is a wasteful number, since it uses less digits than its factorization.

16148966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 16148966400 in words is "sixteen billion, one hundred forty-eight million, nine hundred sixty-six thousand, four hundred".