11167416976 has 45 divisors (see below), whose sum is σ = 22433321833. Its totient is φ = 5385248960.

The previous prime is 11167416971. The next prime is 11167416979. The reversal of 11167416976 is 67961476111.

The square root of 11167416976 is 105676.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5855922576 + 5311494400 = 76524^2 + 72880^2 .

It is a super-2 number, since 2×11167416976² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11167416971) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12257961 + ... + 12258871.

Almost surely, 2^11167416976 is an apocalyptic number.

11167416976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11167416976 is the 105676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11167416976

11167416976 is an abundant number, since it is smaller than the sum of its proper divisors (11265904857).

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

11167416976 is an frugal number, since it uses more digits than its factorization.

11167416976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 942 counting only the distinct ones).

The product of its digits is 381024, while the sum is 49.

Multiplying 11167416976 by its sum of digits (49), we get a square (547203431824 = 739732²).

The spelling of 11167416976 in words is "eleven billion, one hundred sixty-seven million, four hundred sixteen thousand, nine hundred seventy-six".