1618652077056 has 880 divisors, whose sum is σ = 5752362147840. Its totient is φ = 443584512000.

The previous prime is 1618652077051. The next prime is 1618652077057. The reversal of 1618652077056 is 6507702568161.

It is a happy number.

1618652077056 is a `hidden beast` number, since 1 + 61 + 8 + 6 + 520 + 7 + 7 + 0 + 56 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1618652076993 and 1618652077011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1618652077051) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4226245441 + ... + 4226245823.

It is an arithmetic number, because the mean of its divisors is an integer number (6536775168).

Almost surely, 2^{1618652077056} is an apocalyptic number.

1618652077056 is a gapful number since it is divisible by the number (16) 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 1618652077056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876181073920).

1618652077056 is an abundant number, since it is smaller than the sum of its proper divisors (4133710070784).

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

1618652077056 is a wasteful number, since it uses less digits than its factorization.

1618652077056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 1618652077056 in words is "one trillion, six hundred eighteen billion, six hundred fifty-two million, seventy-seven thousand, fifty-six".