1952347294464 has 216 divisors, whose sum is σ = 6049230043248. Its totient is φ = 557370777600.

The previous prime is 1952347294451. The next prime is 1952347294481. The reversal of 1952347294464 is 4644927432591.

It is a junction number, because it is equal to n+sod(n) for n = 1952347294398 and 1952347294407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48939294 + ... + 48979170.

Almost surely, 2^{1952347294464} is an apocalyptic number.

1952347294464 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 1952347294464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024615021624).

1952347294464 is an abundant number, since it is smaller than the sum of its proper divisors (4096882748784).

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

1952347294464 is a wasteful number, since it uses less digits than its factorization.

1952347294464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41211 (or 41190 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 60.

The spelling of 1952347294464 in words is "one trillion, nine hundred fifty-two billion, three hundred forty-seven million, two hundred ninety-four thousand, four hundred sixty-four".