1954307526816 has 96 divisors (see below), whose sum is σ = 5153247485568. Its totient is φ = 648492339200.

The previous prime is 1954307526803. The next prime is 1954307526817. The reversal of 1954307526816 is 6186257034591.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1954307526817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146526100 + ... + 146539436.

It is an arithmetic number, because the mean of its divisors is an integer number (53679661308).

It is a 1-persistent number, because it is pandigital, but 2⋅1954307526816 = 3908615053632 is not.

Almost surely, 2^{1954307526816} is an apocalyptic number.

1954307526816 is a gapful number since it is divisible by the number (16) 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 1954307526816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576623742784).

1954307526816 is an abundant number, since it is smaller than the sum of its proper divisors (3198939958752).

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

1954307526816 is a wasteful number, since it uses less digits than its factorization.

1954307526816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20134 (or 20126 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 1954307526816 in words is "one trillion, nine hundred fifty-four billion, three hundred seven million, five hundred twenty-six thousand, eight hundred sixteen".