954361980000 has 1920 divisors, whose sum is σ = 4332761072640. Its totient is φ = 200724480000.

The previous prime is 954361979981. The next prime is 954361980041. The reversal of 954361980000 is 89163459.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1312739637 + ... + 1312740363.

It is an arithmetic number, because the mean of its divisors is an integer number (2256646392).

Almost surely, 2^954361980000 is an apocalyptic number.

954361980000 is a gapful number since it is divisible by the number (90) 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 954361980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166380536320).

954361980000 is an abundant number, since it is smaller than the sum of its proper divisors (3378399092640).

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

954361980000 is a wasteful number, since it uses less digits than its factorization.

954361980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 954361980000 in words is "nine hundred fifty-four billion, three hundred sixty-one million, nine hundred eighty thousand".