4148664156000 has 4608 divisors, whose sum is σ = 20770624143360. Its totient is φ = 788299776000.

The previous prime is 4148664155921. The next prime is 4148664156019. The reversal of 4148664156000 is 6514668414.

4148664156000 is a `hidden beast` number, since 4 + 1 + 4 + 86 + 6 + 4 + 1 + 560 + 0 + 0 = 666.

It is a super-2 number, since 2×4148664156000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 46614203956 + ... + 46614204044.

It is an arithmetic number, because the mean of its divisors is an integer number (4507513920).

Almost surely, 2^{4148664156000} is an apocalyptic number.

4148664156000 is a gapful number since it is divisible by the number (40) 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 4148664156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10385312071680).

4148664156000 is an abundant number, since it is smaller than the sum of its proper divisors (16621959987360).

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

4148664156000 is a wasteful number, since it uses less digits than its factorization.

4148664156000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 4148664156000 in words is "four trillion, one hundred forty-eight billion, six hundred sixty-four million, one hundred fifty-six thousand".