1954867986432 has 540 divisors, whose sum is σ = 6224799417200. Its totient is φ = 612930945024.

The previous prime is 1954867986413. The next prime is 1954867986439. The reversal of 1954867986432 is 2346897684591.

1954867986432 is a `hidden beast` number, since 1 + 9 + 5 + 48 + 6 + 79 + 86 + 432 = 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 (1954867986439) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1150598319 + ... + 1150600017.

Almost surely, 2^{1954867986432} is an apocalyptic number.

1954867986432 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 1954867986432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112399708600).

1954867986432 is an abundant number, since it is smaller than the sum of its proper divisors (4269931430768).

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

1954867986432 is an frugal number, since it uses more digits than its factorization.

1954867986432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1721 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 1954867986432 in words is "one trillion, nine hundred fifty-four billion, eight hundred sixty-seven million, nine hundred eighty-six thousand, four hundred thirty-two".