1958649696432 has 960 divisors, whose sum is σ = 7046588989440. Its totient is φ = 498771302400.

The previous prime is 1958649696431. The next prime is 1958649696449. The reversal of 1958649696432 is 2346969468591.

1958649696432 is a `hidden beast` number, since 1 + 9 + 5 + 8 + 6 + 496 + 96 + 43 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (1958649696431) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2025490413 + ... + 2025491379.

It is an arithmetic number, because the mean of its divisors is an integer number (7340196864).

Almost surely, 2^{1958649696432} is an apocalyptic number.

1958649696432 is a gapful number since it is divisible by the number (12) 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 1958649696432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523294494720).

1958649696432 is an abundant number, since it is smaller than the sum of its proper divisors (5087939293008).

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

1958649696432 is a wasteful number, since it uses less digits than its factorization.

1958649696432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1213 counting only the distinct ones).

The product of its digits is 604661760, while the sum is 72.

The spelling of 1958649696432 in words is "one trillion, nine hundred fifty-eight billion, six hundred forty-nine million, six hundred ninety-six thousand, four hundred thirty-two".