53167846214664 has 192 divisors, whose sum is σ = 149608597320000. Its totient is φ = 17689505137920.

The previous prime is 53167846214617. The next prime is 53167846214677. The reversal of 53167846214664 is 46641264876135.

53167846214664 is a `hidden beast` number, since 5 + 3 + 1 + 6 + 78 + 462 + 1 + 46 + 64 = 666.

It is a super-2 number, since 2×53167846214664² (a number of 28 digits) contains 22 as substring.

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, 4855949062 + ... + 4855960010.

It is an arithmetic number, because the mean of its divisors is an integer number (779211444375).

Almost surely, 2^{53167846214664} is an apocalyptic number.

53167846214664 is a gapful number since it is divisible by the number (54) 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 53167846214664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74804298660000).

53167846214664 is an abundant number, since it is smaller than the sum of its proper divisors (96440751105336).

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

53167846214664 is a wasteful number, since it uses less digits than its factorization.

53167846214664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15410 (or 15394 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 53167846214664 in words is "fifty-three trillion, one hundred sixty-seven billion, eight hundred forty-six million, two hundred fourteen thousand, six hundred sixty-four".