1617944510952 has 384 divisors, whose sum is σ = 5706362188800. Its totient is φ = 417216614400.

The previous prime is 1617944510947. The next prime is 1617944510953. The reversal of 1617944510952 is 2590154497161.

1617944510952 is a `hidden beast` number, since 1 + 6 + 1 + 79 + 4 + 4 + 510 + 9 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1617944510953) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20767752 + ... + 20845512.

It is an arithmetic number, because the mean of its divisors is an integer number (14860318200).

Almost surely, 2^{1617944510952} is an apocalyptic number.

1617944510952 is a gapful number since it is divisible by the number (12) 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 1617944510952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853181094400).

1617944510952 is an abundant number, since it is smaller than the sum of its proper divisors (4088417677848).

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

1617944510952 is a wasteful number, since it uses less digits than its factorization.

1617944510952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77939 (or 77923 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 1617944510952 in words is "one trillion, six hundred seventeen billion, nine hundred forty-four million, five hundred ten thousand, nine hundred fifty-two".