1216137148416 has 384 divisors, whose sum is σ = 3810905280000. Its totient is φ = 382412980224.

The previous prime is 1216137148409. The next prime is 1216137148427. The reversal of 1216137148416 is 6148417316121.

1216137148416 is a `hidden beast` number, since 1 + 2 + 1 + 61 + 37 + 148 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1216137148416² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92835435 + ... + 92848533.

It is an arithmetic number, because the mean of its divisors is an integer number (9924232500).

Almost surely, 2^{1216137148416} is an apocalyptic number.

1216137148416 is a gapful number since it is divisible by the number (16) 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 1216137148416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905452640000).

1216137148416 is an abundant number, since it is smaller than the sum of its proper divisors (2594768131584).

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

1216137148416 is a wasteful number, since it uses less digits than its factorization.

1216137148416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13226 (or 13200 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 1216137148416 in words is "one trillion, two hundred sixteen billion, one hundred thirty-seven million, one hundred forty-eight thousand, four hundred sixteen".