11867849167104 has 1440 divisors, whose sum is σ = 44850248593920. Its totient is φ = 3045990334464.

The previous prime is 11867849167091. The next prime is 11867849167117. The reversal of 11867849167104 is 40176194876811.

11867849167104 is a `hidden beast` number, since 1 + 1 + 8 + 6 + 78 + 491 + 6 + 71 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11867849167091) and next prime (11867849167117).

It is a super-2 number, since 2×11867849167104² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3582204552 + ... + 3582207864.

It is an arithmetic number, because the mean of its divisors is an integer number (31146005968).

Almost surely, 2^{11867849167104} is an apocalyptic number.

11867849167104 is a gapful number since it is divisible by the number (14) 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 11867849167104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22425124296960).

11867849167104 is an abundant number, since it is smaller than the sum of its proper divisors (32982399426816).

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

11867849167104 is a wasteful number, since it uses less digits than its factorization.

11867849167104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3437 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 11867849167104 in words is "eleven trillion, eight hundred sixty-seven billion, eight hundred forty-nine million, one hundred sixty-seven thousand, one hundred four".