11145101400 has 432 divisors, whose sum is σ = 41058365400. Its totient is φ = 2699827200.

The previous prime is 11145101393. The next prime is 11145101413. The reversal of 11145101400 is 410154111.

11145101400 is a `hidden beast` number, since 1 + 1 + 14 + 510 + 140 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 29406411 + ... + 29406789.

Almost surely, 2^11145101400 is an apocalyptic number.

11145101400 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 11145101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20529182700).

11145101400 is an abundant number, since it is smaller than the sum of its proper divisors (29913264000).

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

11145101400 is a wasteful number, since it uses less digits than its factorization.

11145101400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 11145101400 its reverse (410154111), we get a palindrome (11555255511).

The spelling of 11145101400 in words is "eleven billion, one hundred forty-five million, one hundred one thousand, four hundred".