11146377000 has 256 divisors, whose sum is σ = 38660094720. Its totient is φ = 2650752000.

The previous prime is 11146376993. The next prime is 11146377043. The reversal of 11146377000 is 77364111.

It is a super-2 number, since 2×11146377000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 1745814 + ... + 1752186.

It is an arithmetic number, because the mean of its divisors is an integer number (151015995).

Almost surely, 2^11146377000 is an apocalyptic number.

11146377000 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 11146377000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19330047360).

11146377000 is an abundant number, since it is smaller than the sum of its proper divisors (27513717720).

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

11146377000 is a wasteful number, since it uses less digits than its factorization.

11146377000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6461 (or 6447 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The spelling of 11146377000 in words is "eleven billion, one hundred forty-six million, three hundred seventy-seven thousand".