16749948096 has 224 divisors, whose sum is σ = 56912256000. Its totient is φ = 4731623424.

The previous prime is 16749948073. The next prime is 16749948109. The reversal of 16749948096 is 69084994761.

16749948096 is a `hidden beast` number, since 1 + 67 + 4 + 9 + 9 + 480 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×16749948096² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1068765 + ... + 1084323.

Almost surely, 2^16749948096 is an apocalyptic number.

16749948096 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 16749948096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28456128000).

16749948096 is an abundant number, since it is smaller than the sum of its proper divisors (40162307904).

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

16749948096 is a wasteful number, since it uses less digits than its factorization.

16749948096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15676 (or 15660 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 16749948096 in words is "sixteen billion, seven hundred forty-nine million, nine hundred forty-eight thousand, ninety-six".