1214963173728 has 192 divisors, whose sum is σ = 3753685152000. Its totient is φ = 381003098112.

The previous prime is 1214963173727. The next prime is 1214963173769. The reversal of 1214963173728 is 8273713694121.

1214963173728 is a `hidden beast` number, since 1 + 214 + 96 + 317 + 3 + 7 + 28 = 666.

It is a super-2 number, since 2×1214963173728² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214963173727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37276543 + ... + 37309121.

It is an arithmetic number, because the mean of its divisors is an integer number (19550443500).

Almost surely, 2^{1214963173728} is an apocalyptic number.

1214963173728 is a gapful number since it is divisible by the number (18) 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 1214963173728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876842576000).

1214963173728 is an abundant number, since it is smaller than the sum of its proper divisors (2538721978272).

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

1214963173728 is a wasteful number, since it uses less digits than its factorization.

1214963173728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35154 (or 35140 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 1214963173728 in words is "one trillion, two hundred fourteen billion, nine hundred sixty-three million, one hundred seventy-three thousand, seven hundred twenty-eight".