97154456400 has 480 divisors, whose sum is σ = 362632504320. Its totient is φ = 24657937920.

The previous prime is 97154456393. The next prime is 97154456419. The reversal of 97154456400 is 465445179.

97154456400 is a `hidden beast` number, since 9 + 7 + 154 + 456 + 40 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 56385939 + ... + 56387661.

It is an arithmetic number, because the mean of its divisors is an integer number (755484384).

Almost surely, 2^97154456400 is an apocalyptic number.

97154456400 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 97154456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181316252160).

97154456400 is an abundant number, since it is smaller than the sum of its proper divisors (265478047920).

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

97154456400 is a wasteful number, since it uses less digits than its factorization.

97154456400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

It can be divided in two parts, 9715445 and 6400, that added together give a triangular number (9721845 = T₄₄₀₉).

The spelling of 97154456400 in words is "ninety-seven billion, one hundred fifty-four million, four hundred fifty-six thousand, four hundred".