1206078382656 has 315 divisors, whose sum is σ = 4160808828099. Its totient is φ = 344435680512.

The previous prime is 1206078382643. The next prime is 1206078382693. The reversal of 1206078382656 is 6562838706021.

The square root of 1206078382656 is 1098216.

It is a perfect power (a square), and thus also a powerful number.

1206078382656 is a `hidden beast` number, since 1 + 2 + 0 + 607 + 8 + 3 + 8 + 26 + 5 + 6 = 666.

It is a super-2 number, since 2×1206078382656² (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 an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 553499775 + ... + 553501953.

Almost surely, 2^{1206078382656} is an apocalyptic number.

1206078382656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1206078382656 is the 1098216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1206078382656

1206078382656 is an abundant number, since it is smaller than the sum of its proper divisors (2954730445443).

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

1206078382656 is an frugal number, since it uses more digits than its factorization.

1206078382656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4396 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 1206078382656 in words is "one trillion, two hundred six billion, seventy-eight million, three hundred eighty-two thousand, six hundred fifty-six".