1613955816 has 192 divisors, whose sum is σ = 5099552640. Its totient is φ = 456192000.

The previous prime is 1613955803. The next prime is 1613955829. The reversal of 1613955816 is 6185593161.

1613955816 is a `hidden beast` number, since 1 + 61 + 3 + 9 + 5 + 581 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1613955803) and next prime (1613955829).

It is a super-4 number, since 4×1613955816⁴ (a number of 38 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 745776 + ... + 747936.

It is an arithmetic number, because the mean of its divisors is an integer number (26560170).

Almost surely, 2^1613955816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1613955816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549776320).

1613955816 is an abundant number, since it is smaller than the sum of its proper divisors (3485596824).

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

1613955816 is a wasteful number, since it uses less digits than its factorization.

1613955816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 2241 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 1613955816 is about 40174.0689500080. The cubic root of 1613955816 is about 1172.9978436348.

The spelling of 1613955816 in words is "one billion, six hundred thirteen million, nine hundred fifty-five thousand, eight hundred sixteen".