11405456100 has 180 divisors, whose sum is σ = 37140841584. Its totient is φ = 3027568320.

The previous prime is 11405456071. The next prime is 11405456129. The reversal of 11405456100 is 165450411.

11405456100 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 5 + 45 + 610 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11405456071) and next prime (11405456129).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1835599 + ... + 1841801.

Almost surely, 2^11405456100 is an apocalyptic number.

11405456100 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 11405456100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18570420792).

11405456100 is an abundant number, since it is smaller than the sum of its proper divisors (25735385484).

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

11405456100 is a wasteful number, since it uses less digits than its factorization.

11405456100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6456 (or 6440 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 11405456100 in words is "eleven billion, four hundred five million, four hundred fifty-six thousand, one hundred".