1046388688464 has 320 divisors, whose sum is σ = 3437899960320. Its totient is φ = 267206860800.

The previous prime is 1046388688463. The next prime is 1046388688483. The reversal of 1046388688464 is 4648868836401.

It is a junction number, because it is equal to n+sod(n) for n = 1046388688395 and 1046388688404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1046388688463) 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, 18232614 + ... + 18289914.

It is an arithmetic number, because the mean of its divisors is an integer number (10743437376).

Almost surely, 2^{1046388688464} is an apocalyptic number.

1046388688464 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 1046388688464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718949980160).

1046388688464 is an abundant number, since it is smaller than the sum of its proper divisors (2391511271856).

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

1046388688464 is a wasteful number, since it uses less digits than its factorization.

1046388688464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57498 (or 57492 counting only the distinct ones).

The product of its (nonzero) digits is 169869312, while the sum is 66.

The spelling of 1046388688464 in words is "one trillion, forty-six billion, three hundred eighty-eight million, six hundred eighty-eight thousand, four hundred sixty-four".