1046615961600 has 936 divisors, whose sum is σ = 4330823760432. Its totient is φ = 238760755200.

The previous prime is 1046615961593. The next prime is 1046615961613. The reversal of 1046615961600 is 61695166401.

1046615961600 is a `hidden beast` number, since 1 + 0 + 46 + 6 + 1 + 596 + 16 + 0 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 172336164 + ... + 172342236.

It is an arithmetic number, because the mean of its divisors is an integer number (4626948462).

Almost surely, 2^{1046615961600} is an apocalyptic number.

1046615961600 is a gapful number since it is divisible by the number (10) 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 1046615961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165411880216).

1046615961600 is an abundant number, since it is smaller than the sum of its proper divisors (3284207798832).

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

1046615961600 is a wasteful number, since it uses less digits than its factorization.

1046615961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6141 (or 6111 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 1046615961600 in words is "one trillion, forty-six billion, six hundred fifteen million, nine hundred sixty-one thousand, six hundred".