1023614383680 has 896 divisors, whose sum is σ = 4318051368960. Its totient is φ = 223380357120.

The previous prime is 1023614383657. The next prime is 1023614383691. The reversal of 1023614383680 is 863834163201.

1023614383680 is a `hidden beast` number, since 1 + 0 + 23 + 614 + 3 + 8 + 3 + 6 + 8 + 0 = 666.

1023614383680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 116540569 + ... + 116549351.

It is an arithmetic number, because the mean of its divisors is an integer number (4819253760).

Almost surely, 2^{1023614383680} is an apocalyptic number.

1023614383680 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 1023614383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159025684480).

1023614383680 is an abundant number, since it is smaller than the sum of its proper divisors (3294436985280).

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

1023614383680 is a wasteful number, since it uses less digits than its factorization.

1023614383680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8904 (or 8888 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 1023614383680 in words is "one trillion, twenty-three billion, six hundred fourteen million, three hundred eighty-three thousand, six hundred eighty".