10421954165448 has 960 divisors, whose sum is σ = 36689691709440. Its totient is φ = 2748530340864.

The previous prime is 10421954165431. The next prime is 10421954165449. The reversal of 10421954165448 is 84456145912401.

It is a happy number.

10421954165448 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 1 + 9 + 541 + 6 + 54 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10421954165394 and 10421954165403.

It is not an unprimeable number, because it can be changed into a prime (10421954165449) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3431659386 + ... + 3431662422.

It is an arithmetic number, because the mean of its divisors is an integer number (38218428864).

Almost surely, 2^{10421954165448} is an apocalyptic number.

10421954165448 is a gapful number since it is divisible by the number (18) 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 10421954165448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18344845854720).

10421954165448 is an abundant number, since it is smaller than the sum of its proper divisors (26267737543992).

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

10421954165448 is a wasteful number, since it uses less digits than its factorization.

10421954165448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3256 (or 3236 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 10421954165448 in words is "ten trillion, four hundred twenty-one billion, nine hundred fifty-four million, one hundred sixty-five thousand, four hundred forty-eight".