1214656951680 has 384 divisors, whose sum is σ = 4236085002240. Its totient is φ = 320702976000.

The previous prime is 1214656951667. The next prime is 1214656951681. The reversal of 1214656951680 is 861596564121.

It is a happy number.

1214656951680 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 65 + 69 + 516 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214656951681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245333205 + ... + 245338155.

It is an arithmetic number, because the mean of its divisors is an integer number (11031471360).

Almost surely, 2^{1214656951680} is an apocalyptic number.

1214656951680 is a gapful number since it is divisible by the number (10) 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 1214656951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118042501120).

1214656951680 is an abundant number, since it is smaller than the sum of its proper divisors (3021428050560).

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

1214656951680 is a wasteful number, since it uses less digits than its factorization.

1214656951680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5390 (or 5375 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 1214656951680 in words is "one trillion, two hundred fourteen billion, six hundred fifty-six million, nine hundred fifty-one thousand, six hundred eighty".