11142514152 has 192 divisors, whose sum is σ = 38392848000. Its totient is φ = 2894088960.

The previous prime is 11142514111. The next prime is 11142514181. The reversal of 11142514152 is 25141524111.

11142514152 is a `hidden beast` number, since 1 + 1 + 142 + 514 + 1 + 5 + 2 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251148 + ... + 292164.

It is an arithmetic number, because the mean of its divisors is an integer number (199962750).

Almost surely, 2^11142514152 is an apocalyptic number.

11142514152 is a gapful number since it is divisible by the number (12) 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 11142514152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19196424000).

11142514152 is an abundant number, since it is smaller than the sum of its proper divisors (27250333848).

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

11142514152 is a wasteful number, since it uses less digits than its factorization.

11142514152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41061 (or 41040 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The spelling of 11142514152 in words is "eleven billion, one hundred forty-two million, five hundred fourteen thousand, one hundred fifty-two".