1054931438624 has 384 divisors, whose sum is σ = 2647351848960. Its totient is φ = 403434307584.

The previous prime is 1054931438621. The next prime is 1054931438633. The reversal of 1054931438624 is 4268341394501.

It is a super-2 number, since 2×1054931438624² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1054931438621) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3130360184 + ... + 3130360520.

It is an arithmetic number, because the mean of its divisors is an integer number (6894145440).

Almost surely, 2^{1054931438624} is an apocalyptic number.

1054931438624 is a gapful number since it is divisible by the number (14) 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 1054931438624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323675924480).

1054931438624 is an abundant number, since it is smaller than the sum of its proper divisors (1592420410336).

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

1054931438624 is a wasteful number, since it uses less digits than its factorization.

1054931438624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 50.

The spelling of 1054931438624 in words is "one trillion, fifty-four billion, nine hundred thirty-one million, four hundred thirty-eight thousand, six hundred twenty-four".