1615200156864 has 224 divisors, whose sum is σ = 5503166438400. Its totient is φ = 454985717760.

The previous prime is 1615200156851. The next prime is 1615200156901. The reversal of 1615200156864 is 4686510025161.

1615200156864 is a `hidden beast` number, since 1 + 6 + 1 + 5 + 20 + 0 + 1 + 568 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81549 + ... + 1799180.

Almost surely, 2^{1615200156864} is an apocalyptic number.

1615200156864 is a gapful number since it is divisible by the number (14) 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 1615200156864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751583219200).

1615200156864 is an abundant number, since it is smaller than the sum of its proper divisors (3887966281536).

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

1615200156864 is a wasteful number, since it uses less digits than its factorization.

1615200156864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880828 (or 1880812 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 1615200156864 in words is "one trillion, six hundred fifteen billion, two hundred million, one hundred fifty-six thousand, eight hundred sixty-four".