946190106624 has 1440 divisors, whose sum is σ = 3442579660800. Its totient is φ = 228898897920.

The previous prime is 946190106559. The next prime is 946190106671. The reversal of 946190106624 is 426601091649.

It is a super-4 number, since 4×946190106624⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 30522261489 + ... + 30522261519.

It is an arithmetic number, because the mean of its divisors is an integer number (2390680320).

Almost surely, 2^946190106624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 946190106624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721289830400).

946190106624 is an abundant number, since it is smaller than the sum of its proper divisors (2496389554176).

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

946190106624 is a wasteful number, since it uses less digits than its factorization.

946190106624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 946190106624 in words is "nine hundred forty-six billion, one hundred ninety million, one hundred six thousand, six hundred twenty-four".