1023534382464 has 896 divisors, whose sum is σ = 3626059852800. Its totient is φ = 284191027200.

The previous prime is 1023534382463. The next prime is 1023534382469. The reversal of 1023534382464 is 4642834353201.

1023534382464 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 534 + 38 + 24 + 64 = 666.

It is a super-3 number, since 3×1023534382464³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023534382463) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 604567602 + ... + 604569294.

It is an arithmetic number, because the mean of its divisors is an integer number (4046941800).

Almost surely, 2^{1023534382464} 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 1023534382464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813029926400).

1023534382464 is an abundant number, since it is smaller than the sum of its proper divisors (2602525470336).

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

1023534382464 is a wasteful number, since it uses less digits than its factorization.

1023534382464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 1023534382464 in words is "one trillion, twenty-three billion, five hundred thirty-four million, three hundred eighty-two thousand, four hundred sixty-four".