4611516683400 has 768 divisors, whose sum is σ = 17501260204800. Its totient is φ = 1106832384000.

The previous prime is 4611516683399. The next prime is 4611516683489. The reversal of 4611516683400 is 43866151164.

4611516683400 is a `hidden beast` number, since 4 + 6 + 1 + 1 + 5 + 166 + 83 + 400 = 666.

It is a super-2 number, since 2×4611516683400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2887611402 + ... + 2887612998.

It is an arithmetic number, because the mean of its divisors is an integer number (22788099225).

Almost surely, 2^{4611516683400} is an apocalyptic number.

4611516683400 is a gapful number since it is divisible by the number (40) 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 4611516683400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8750630102400).

4611516683400 is an abundant number, since it is smaller than the sum of its proper divisors (12889743521400).

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

4611516683400 is a wasteful number, since it uses less digits than its factorization.

4611516683400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 4611516683400 in words is "four trillion, six hundred eleven billion, five hundred sixteen million, six hundred eighty-three thousand, four hundred".